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Finding the Third Proportional to 66,706,430,502 and 101,622,632,678

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Solution

The third proportional to 66,706,430,502 and 101,622,632,678 is: 154,815,051,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,706,430,502 : 101,622,632,678 = 101,622,632,678 : x
  2. Step 2: Convert to fraction form
    66,706,430,502/101,622,632,678 = 101,622,632,678/x
  3. Step 3: Cross multiply
    66,706,430,502x = 101,622,632,678 × 101,622,632,678
  4. Step 4: Simplify right side
    66,706,430,502x = 10,327,159,472,407,713,939,456
  5. Step 5: Solve for x
    x = 10,327,159,472,407,713,939,456/66,706,430,502
  6. Step 6: Final answer
    x = 154,815,051,482.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.